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%I #22 Jan 02 2017 02:37:36
%S 6,63,364,1365,3906,9331,19608,37449,66430,111111,177156,271453,
%T 402234,579195,813616,1118481,1508598,2000719,2613660,3368421,4288306,
%U 5399043,6728904,8308825,10172526,12356631,14900788,17847789,21243690,25137931
%N a(n) = 111111 in base n.
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F a(n) = n^5 + n^4 + n^3 + n^2 + n + 1 = (n^6-1)/(n-1).
%F G.f.: x*(6 + 27*x + 76*x^2 + 6*x^3 + 6*x^4 - x^5)/(1-x)^6. - _Colin Barker_, May 08 2012
%e a(3)=364 because 111111 base 3 = 243 + 81 + 27 + 9 + 3 + 1 = 121.
%t Table[(n^5+n^4+n^3+n^2+n+1),{n,0,5!}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 06 2010 *)
%o (PARI) a(n)=(n^6-1)/(n-1) \\ _Charles R Greathouse IV_, Sep 28 2015
%K base,nonn,easy
%O 1,1
%A _Henry Bottomley_, Mar 23 2000
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